120114735800 has 144 divisors (see below), whose sum is σ = 295196574960. Its totient is φ = 45446492160.

The previous prime is 120114735799. The next prime is 120114735803. The reversal of 120114735800 is 8537411021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120114735803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87866717 + ... + 87868083.

It is an arithmetic number, because the mean of its divisors is an integer number (2049976215).

Almost surely, 2^120114735800 is an apocalyptic number.

120114735800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120114735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147598287480).

120114735800 is an abundant number, since it is smaller than the sum of its proper divisors (175081839160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120114735800 is a wasteful number, since it uses less digits than its factorization.

120114735800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 120114735800 in words is "one hundred twenty billion, one hundred fourteen million, seven hundred thirty-five thousand, eight hundred".